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Hermite functions on compact Lie groups. I

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Publication:1340838
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DOI10.1006/jfan.1994.1134zbMath0836.43016OpenAlexW3022419920MaRDI QIDQ1340838

Omar Hijab

Publication date: 20 December 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1134

zbMATH Keywords

linear isometryHermite polynomialssymmetric tensorscompact Lie group


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Harmonic analysis on general compact groups (43A77)


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HIDA DISTRIBUTIONS ON COMPACT LIE GROUPS, Harmonic analysis with respect to heat kernel measure, Relations Among Various Versions of the Segal-Bargmann Transform, The Segal-Bargmann transform for path-groups, Heat kernel analysis of Cameron-Martin subgroup for infinite dimensional groups, The \(C\)-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle, Small-time asymptotics of Hermite functions on compact symmetric spaces, A local Peter-Weyl theorem, Segal-Bargmann and Weyl transforms on compact Lie groups, Short time behavior of Hermite functions on compact Lie groups, Hypercontractivity over complex manifolds



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